Geodesic
Local Gaussian Dominance: An Anharmonic Excitation of Free Bosons
Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 1, pp. 150-160
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We prove the local Gaussian dominance condition for a Bose system whose Hamiltonian is diagonal with respect to the particle number operators. The proof is based on obtaining an upper bound estimate for the Bogoliubov inner product of the Bose creation and annihilation operators.
Keywords: Bogoliubov inner product
Mots-clés : Gaussian dominance, free bosons. 
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M. Corgini; D. P. Sankovich. Local Gaussian Dominance: An Anharmonic Excitation of Free Bosons. Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 1, pp. 150-160. http://geodesic.mathdoc.fr/item/TMF_2002_132_1_a9/

[1] N. N. Bogolyubov, Kvazisrednie v zadachakh statisticheskoi mekhaniki, Preprint OIYaI D-781, OIYaI, Dubna, 1961

[2] D. P. Sankovich, Infrakrasnye otsenki i fazovyi perekhod v modeli neidealnogo boze-gaza, Soobscheniya OIYaI, R17-88-348, OIYaI, Dubna, 1988

[3] J. Fröhlich, B. Simon, T. Spencer, Commun. Math. Phys., 50 (1976), 79 | DOI | MR

[4] F. Dyson, E. Lieb, B. Simon, Phys. Rev. Lett., 37 (1976), 120 | DOI | MR

[5] D. P. Sankovich, TMF, 79 (1989), 460 | MR

[6] D. P. Sankovich, TMF, 126 (2001), 149 | DOI | MR | Zbl

[7] N. N. Bogolubov, Phys. Abh. S U, 1 (1962), 113

[8] N. N. Bogolubov, Jr., D. P. Sankovich, Phys. Lett. A, 137 (1989), 179 | DOI | MR

[9] M. Corgini, D. P. Sankovich, Mod. Phys. Lett. B, 13 (1999), 411 | DOI

[10] K. Khuang, Statisticheskaya mekhanika, Mir, M., 1966